168314880 has 96 divisors (see below), whose sum is σ = 538574400. Its totient is φ = 44875776.

The previous prime is 168314873. The next prime is 168314917. The reversal of 168314880 is 88413861.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27981 + ... + 33459.

It is an arithmetic number, because the mean of its divisors is an integer number (5610150).

Almost surely, 2^168314880 is an apocalyptic number.

168314880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269287200).

168314880 is an abundant number, since it is smaller than the sum of its proper divisors (370259520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

168314880 is an equidigital number, since it uses as much as digits as its factorization.

168314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5509 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 168314880 is about 12973.6224702278. The cubic root of 168314880 is about 552.1293542682.

The spelling of 168314880 in words is "one hundred sixty-eight million, three hundred fourteen thousand, eight hundred eighty".